# Name date math 009 quiz 3 page 2 1 tanya has a

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Math 009 Quiz 3 Page 2 1) Tanya has a triangular garden bed in her back yard. The measure of the largest angle is 30° less than twice the measure of the smallest, and the measure of the middle angle is 10° more than the measure of the smallest angle. Find the measures of the three angles. Start your work by defining the unknown quantities in terms of a variable. Show all work and write a complete answer, including units.
2) Jacob decided to ride his bicycle across the country during his 3-month summer vacation. The route he took from Washington, DC to Portland, Oregon, covered a total of 3420 miles. To keep his mind occupied during some of the long flat stretches of countryside, he often did algebra problems in his head. One day, for example, he determined that his distance from his starting point was exactly 60 miles more than twice the distance remaining until the finishing point. How far was Jacob from the finishing point of his journey when he made that calculation? Start your work by defining the unknown quantities in terms of a variable. Show all work and write a complete answer, including units.
Math 009 Quiz 3 Page 3